A quadratic programming approach in estimating similarity relations

  • Authors:
  • E. Triantaphyllou

  • Affiliations:
  • Dept. of Ind. Eng., Kansas State Univ., Manhattan, KS

  • Venue:
  • IEEE Transactions on Fuzzy Systems
  • Year:
  • 1993

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Abstract

The problem of estimating how similar N objects are when they are compared with each other is investigated, using comparative judgments of all possible pairs of the N objects as data. The pairwise comparisons focus on the similarity relations instead of the relative importance of each object. A quadratic programming model is also proposed. It processes the similarity-based pairwise comparisons and determines the similarity relations among the N objects. The model has linear constraints; therefore it can be solved easily by transferring it into a system of linear equations